Abstract

Assessing Preservice Teachers’ Mathematics Cognitive Failures as Related to Mathematics Anxiety and Performance in Undergraduate Calculus

Highlights

  • The term lapse of awareness is rooted in both clinical and cognitive psychology

  • Most of the partial correlations were small as indicated by the anti-image correlation matrix. These measures all led to the conclusion that the set of 25 items of the mathematics cognitive failures questionnaire was appropriate for principal components factor analyses (PCA) and since no particular number of components was first hypothesized the criterion was set to eigenvalues greater than one (Kaiser, 1960; Tabachnick & Fidell, 2007)

  • The Mathematics Cognitive Failures Questionnaire (MCFQ) was found to be a valid and reliable measure of preservice teachers’ mathematics cognitive failures levels; it may be used by different professionals to detect and deal with mathematics cognitive failures

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Summary

Introduction

The term lapse of awareness is rooted in both clinical and cognitive psychology. In the clinical psychology lapse of awareness is termed dissociation while in cognitive psychology it is called cognitive failure. The Cognitive Failures Questionnaire (CFQ) developed by Broadbent et al (1982) is an established self-report measure of individual differences in daily mental lapses with 25 questions relating to everyday errors such as the likelihood of not noticing signposts on the road or being confused right and left when giving directions. These questions are seen to reflect lapses in memory, perception, and attention. Occupational cognitive failures are bunches of mental lapses that occur at the working environment while non-occupational cognitive failures are clusters of failures that occur outside the working environment

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